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Finding the Fourth Proportional to 11,655.36, 17,484.84 and 4,258.17

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Solution

The fourth proportional to 11,655.36, 17,484.84 and 4,258.17 is: 6,387.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,655.36 : 17,484.84 = 4,258.17 : x
  2. Step 2: Convert to fraction form
    11,655.36/17,484.84 = 4,258.17/x
  3. Step 3: Cross multiply
    11,655.36x = 17,484.84 × 4,258.17
  4. Step 4: Simplify right side
    11,655.36x = 74,453,421.14
  5. Step 5: Solve for x
    x = 74,453,421.14/11,655.36
  6. Step 6: Final answer
    x = 6,387.91

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.